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Graphing
Factoring
Complex Numbers
Quadratic Formula
Vertex Form and Shifts
100
The x-coordinate of the vertex for the function f(x)=〖2x〗^2-8x+9
What is 2?
100
A quadratic equation with the roots -4 and 7, written in standard form.
What is x^2-3x-28=0?
100
The value of i^2.
What is -1?
100
The expression b^2-4ac in the quadratic formula, which helps identify the number and type of roots of a quadratic equation.
What is the discriminant?
100
The vertex of the function y=(〖x+4)〗^2-21.
What is (-4, -21)?
200
The y-intercept of the function f(x)=〖2x〗^2-8x+9
What is 9?
200
The factors of the polynomial x^2-7x+6.
What are (x-6) and (x-1)?
200
√147 in simplest form.
What is 7√3?
200
The number and type of roots of a quadratic equation when the value of the discriminant is less than zero.
What are 2 complex?
200
The equation for the parabola that has a vertex of (-3, 6) and passes through the point (-5, 2).
What is y=-(〖x+3)〗^2+6?
300
The equation of the axis of symmetry of the function f(x)=x^2+9+8x.
What is x=-4?
300
The roots of the equation x^2+5x-24=0.
What are -8 and 3?
300
The simplified form of (-3-i)(2-2i).
What is -8+4i?
300
The solutions to the equation x^2-4x=-13.
What are 2+3i and 2-3i?
300
The vertex of the function y=-2(〖x+3)〗^2.
What is (-3, 0)?
400
The direction that a graph opens when its a value is less than 1.
What is downward?
400
The roots of x(x+6)(x-5)=0.
What are 0, -6, and 5?
400
The solution to the equation -2x^2-80=0.
What is ±2i√10?
400
The value of the discriminant for the equation 9x^2-12x+4=0.
What is 0?
400
The equation of the parabola that has a vertex of (0, 5) and passes through the point (3, 8).
What is y= 1/3 x^2+5?
500
The maximum value of the function f(x)=〖-x〗^2-9.
What is -9?
500
The solutions to the equation -2x^2-16=-12x
What are 2 and 4?
500
Two complex numbers of the form a+bi and a-bi.
What are complex conjugates?
500
The solutions to the equation x^2-30x-64=0.
What are -2 and 32?
500
The effect on the graph of the equation y=x^2+5 when the equation is changed to y=〖(x-2)〗^2+8.
What is a shift of 2 units to the right and 3 units up?